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Finding the Fourth Proportional to 579.30, 868.95 and 214.10

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Solution

The fourth proportional to 579.30, 868.95 and 214.10 is: 321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.30 : 868.95 = 214.10 : x
  2. Step 2: Convert to fraction form
    579.30/868.95 = 214.10/x
  3. Step 3: Cross multiply
    579.30x = 868.95 × 214.10
  4. Step 4: Simplify right side
    579.30x = 186,037.85
  5. Step 5: Solve for x
    x = 186,037.85/579.30
  6. Step 6: Final answer
    x = 321.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.